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  • Explain solution RD Sharma class 12 chapter The Plane exercise 28.3 question 8 maths

Explain solution RD Sharma class 12 chapter The Plane exercise 28.3  question 8 maths

Answers (1)

Answer:

5x+3y+2z=21

Hint:

a\left(x-x_{1}\right)+b\left(y-y_{1}\right)+c\left(z-z_{1}\right)=0

Given:

Equation of Plane passing through (2,3,1) & d.r. (5,3,2)

Solution:

Equation of Plane passing through \left(x_{1}, y_{1}, z_{1}\right) and DR of the plane proportional to (a,b,c)

\begin{aligned} &a\left(x-x_{1}\right)+b\left(y-y_{1}\right)+c\left(z-z_{1}\right)=0 \\ &\text { Here, }\left(x_{1}, y_{1}, z_{1}\right)=(2,3,1) \&(a, b, c)=(5,3,2) \\ &\Rightarrow 5(x-2)+3(y-3)+2(z-1)=0 \\ &\Rightarrow 5 x-10+3 y-9+2 z-2=0 \\ &\Rightarrow 5 x+3 y+2 z=21 \end{aligned}

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